Fig. 1
Non-topological (bright) soliton nature of surface wave propagation by (12) with C = 1, α = −1 and t = 0.1, 0.2, 0.3.
Fig. 2
Rogue wave solutions of the equation (24) with C = 0.2, α = −1 and t = 0, 1, 2.
Fig. 3
Topological (dark) soliton nature of surface wave propagation by (37) with D = 4, α = 1 and t = 2, 4, 6.
Fig. 4
Non-topological (bright) soliton solutions of the equation (46) with C = 0.05, β = 1 and t = 0.2, 0.4, 0.6.
Fig. 5
Rogue wave solutions of the equation (53) with C = 1, α = 1, σ = 1, β = 1 and t = 0, 1, 2.
Fig. 6
Topological (dark) soliton solutions of the equation (57) with C = 1, σ = 1, γ = 1, β = −0.5 and t = 0.2, 0.4, 0.6.